Cut the chicken into legs, thighs, breasts and wings. Cut each breast crosswise through the bones into 3 pieces. Remove the thigh bones and cut each thigh in half.
In a large saucepan, heat the oil. Add the ginger and garlic and cook over moderate heat until softened, about 3 minutes. Add the stock, water, fish sauce, honey and rice and bring to a boil. Add the chicken pieces and simmer for 5 minutes. Stir in the shrimp and cook just until opaque, about 1 minute. Stir in the lime juice, cilantro, basil and chile and serve right away, passing lime wedges at the table.